QUESTION

CSAT

Medium

Maths

Prelims 2020

Two statements are given followed by two Conclusions:

Statements: All numbers are divisible by $2$ . All numbers are divisible by $3$ .

Conclusion-I: All numbers are divisible by $6$ . Conclusion-II: All numbers are divisible by $4$ .

Which of the above Conclusions logically follows/follow from the two given Statements?

Select an option to attempt

Explanation

Conclusion I: True. A number divisible by both 2 and 3 must also be divisible by 6, as 6 is the least common multiple (LCM) of 2 and 3. Hence, Conclusion I logically follows.

Conclusion II: False. While a number divisible by both 2 and 3 must be divisible by 6, it does not necessarily have to be divisible by 4. For example, 6 is divisible by both 2 and 3, but it is not divisible by 4. Therefore, Conclusion II does not logically follow.

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